The use of the spectral radius, or matrix norms of the adjacency matrix in order to derive rapid
mixing bounds has also been studied in [1]}, [2]}. As opposed to our approach here, that relies
on SI, these results rely on the path coupling technique [3]}.
Our improvements on these works reflects the fact that SI is much stronger
than path coupling. The techniques considered in these two paper do not seem to apply to
the setting of analysis we have with SI. In that respect, our approach is orthogonal to the previous ones.
